Use the slope of the given line to construct a parallel line

Mathematics

2 answers:

Troyanec [42]3 years ago

6 0

Answer:

y = - $\frac{4}{3}$ x - 7

Step-by-step explanation:

Parallel lines have equal slopes.

Calculate the slope m of the given line using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (3, - 2) ← 2 points on the line

m = $\frac{-2-2}{3-0}$ = - $\frac{4}{3}$ , thus

y = - $\frac{4}{3}$ x + c ← is the partial equation

To find c substitute P(- 3, - 3) into the partial equation

- 3 = 4 + c ⇒ c = - 3 - 4 = - 7

y = - $\frac{4}{3}$ x - 7 ← equation of parallel line

tatuchka [14]3 years ago

3 0

Answer:

put the point on position -2, -4

Step-by-step explanation: i just finished this question. and this was the right option

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aksik [14]

the second duckling is wandering by 2.6 units distance than the first duckling .

<u>Step-by-step explanation:</u>

Here we have , Two ducklings wander away from the nest while their mother is away. The first duckling's displacement (distance and direction) from the nest is (12,5) The second duckling's displacement is (13,-8) . We need to find How much farther did the second duckling wander than the first duckling. Let's find out:

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The distance each duckling wandered is the magnitude of its displacement vector. Therefore, the expression Distance second duck wandered is given by :

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